Abstract
The Husimi Q function is used to describe the quantum evolution of the field state in the nonlinear process of second-harmonic generation. The Q function for the initial quantum state is used as a given distribution for generating classical random numbers that play a role of the initial values for the classical equations of motion. The evolution of classical and quantum fluctuations is compared for a particular initial state with only two photons in the fundamental mode. It is shown that some features of the quantum state that has no classical counterpart can be recognized from the evolution of classical fluctuations.
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Tanaś, R. Quantum fluctuations in nonlinear systems. Acta Phys. Hung. B 20, 7–10 (2004). https://doi.org/10.1556/APH.20.2004.1-2.3
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DOI: https://doi.org/10.1556/APH.20.2004.1-2.3